Q.

A body of mass 6kg is under a force which causes displacement in it given by S=t24  metres where t is time. The work done by the force in 2 seconds is

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a

12 J

b

9 J

c

6 J

d

3 J

answer is D.

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Detailed Solution

s=t24  ∴ds=t2dtF=ma=md2sdt2=6d2dt2t24 = 3NNowW=∫02F ds=∫023t2dt=32t2202=34(2)2−(0)2=3J
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A body of mass 6kg is under a force which causes displacement in it given by S=t24  metres where t is time. The work done by the force in 2 seconds is